Martingale convergence and the functional equation in the multi-type branching random walk
type: Item
instance of: scholarly article
title: Martingale convergence and the functional equation in the multi-type branching random walk
zbMATH Open document ID: 1017.60090
DOI: 10.2307/3318727
author: A. E. Kyprianou
author: A. Rahimzadeh Sani
published in: Bernoulli
publication date: 2003-08-11T00:00:00Z
full work available at URL: https://dspace.library.uu.nl/handle/1874/1931
review text: The authors prove a generalization of Biggins's martingale convergence theorem for the multi-type branching random walk by constructing size-biased measures on the space of marked trees generated by the branching process. Existence and uniqueness of solutions for a system of functional equations are then obtained.
reviewed by: Mihai Gradinaru
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 60G50
Mathematics Subject Classification ID: 60F15
zbMATH DE Number: 1686318
zbMATH Keywords: multitype branching random walk
zbMATH Keywords: size-biased measures
zbMATH Keywords: functional equation
zbMATH Keywords: martingale convergence
MaRDI profile type: Publication
OpenAlex ID: W2028077740
description: scientific article; zbMATH DE number 1686318